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Finding the Third Proportional to 69,144.65 and 150,856.01

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Solution

The third proportional to 69,144.65 and 150,856.01 is: 329,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144.65 : 150,856.01 = 150,856.01 : x
  2. Step 2: Convert to fraction form
    69,144.65/150,856.01 = 150,856.01/x
  3. Step 3: Cross multiply
    69,144.65x = 150,856.01 × 150,856.01
  4. Step 4: Simplify right side
    69,144.65x = 22,757,536,860.97
  5. Step 5: Solve for x
    x = 22,757,536,860.97/69,144.65
  6. Step 6: Final answer
    x = 329,129.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.